Applied Mathematics and Mechanics (English Edition) ›› 1985, Vol. 6 ›› Issue (9): 853-858.

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GENERAL SOLUTION OF ELASTODYNAMICS

沈惠川   

  1. University of Science and Technology of China, Hefei
  • 收稿日期:1984-03-16 出版日期:1985-09-18 发布日期:1985-09-18

GENERAL SOLUTION OF ELASTODYNAMICS

Shen Hui-chuan   

  1. University of Science and Technology of China, Hefei
  • Received:1984-03-16 Online:1985-09-18 Published:1985-09-18

摘要: The elastodynamic problem is investigated via stokes-Helmholtz separation of the vector with time, and the general solutions of Lame equation are derived. The medium is assumed to be homogeneous and isotropic.

关键词: fractional calculus, numerical method, fractional derivative constitutive relation, weakly singular Volterra integro-differential equation

Abstract: The elastodynamic problem is investigated via stokes-Helmholtz separation of the vector with time, and the general solutions of Lame equation are derived. The medium is assumed to be homogeneous and isotropic.

Key words: fractional calculus, numerical method, fractional derivative constitutive relation, weakly singular Volterra integro-differential equation

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